Extensions 1→N→G→Q→1 with N=C₉ and Q=C₄₈

Direct product G=N×Q with N=C₉ and Q=C₄₈

		d	ρ	Label	ID
C₃×C₁₄₄		432		C3xC144	432,34

Semidirect products G=N:Q with N=C₉ and Q=C₄₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊C₄₈ = C₉⋊C₄₈	φ: C₄₈/C₈ → C₆ ⊆ Aut C₉	144	6	C9:C48	432,31
C₉⋊₂C₄₈ = C₁₆×3_-¹⁺²	φ: C₄₈/C₁₆ → C₃ ⊆ Aut C₉	144	3	C9:2C48	432,36
C₉⋊₃C₄₈ = C₃×C₉⋊C₁₆	φ: C₄₈/C₂₄ → C₂ ⊆ Aut C₉	144	2	C9:3C48	432,28

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁